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Finding the Fourth Proportional to 400.12, 551.94 and 295.22

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Solution

The fourth proportional to 400.12, 551.94 and 295.22 is: 407.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.12 : 551.94 = 295.22 : x
  2. Step 2: Convert to fraction form
    400.12/551.94 = 295.22/x
  3. Step 3: Cross multiply
    400.12x = 551.94 × 295.22
  4. Step 4: Simplify right side
    400.12x = 162,943.73
  5. Step 5: Solve for x
    x = 162,943.73/400.12
  6. Step 6: Final answer
    x = 407.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.